期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2021; 81 (2)
This paper proposes, for wave propagating in a globally perturbed half-plane with a perfectly conducting step-like surface, a sharp Sommerfeld radiati......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2021; 81 (4)
Recruitment plays a vital role in the ecological and evolutionary successes of social insect colonies. In this paper, we formulate a four-compartment ......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2021; 81 (4)
We develop a modified Poisson-Nernst-Planck model which includes both the long-range Coulomb and short-range hard-sphere correlations in its free ener......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2021; 81 (3)
At the continuous level, we consider two types of tumor growth models: the cell density model, based on the fluid mechanical construction, is more fav......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2021; 81 (2)
The release of Wolbachia-infected mosquitoes in 2016 and 2017 enabled near-elimination of the sole dengue vector Aedes albopictus on Shazai and Dadaos......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2021; 81 (4)
We propose an interaction model for two substances (molecules) of concentrations f and g. The substance f is assumed to be involved in the growth proc......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2021; 81 (4)
We consider a two-species Lotka-Volterra competition-diffusion model with a shifting habitat. The growth rate of each species is nondecreasing along t......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2021; 81 (1)
It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a nonvanishing incid......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2020; 80 (3)
The electric field plays an important role in ferroelectric phase transition. There have been numerous phase field formulations attempting to account ......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2020; 80 (3)
Diapause, a period of arrested development driven by adverse environmental conditions, plays an important role in the establishment and invasion of in......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2020; 80 (3)
We study an inverse problem associated with an eddy current model. We first address the ill-posedness of the inverse problem by proving the compactnes......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2020; 80 (3)
Single-cell RNA sequencing data have complex features such as dropout events, overdispersion, and high-magnitude outliers, resulting in complicated pr......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2020; 80 (3)
The effect of diffusion rates on the basic reproduction number of a general compartmental reaction-diffusion epidemic model in a heterogeneous environ......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2020; 80 (3)
The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs), along which three GBs meet.......
期刊： SIAM JOURNAL ON APPLIED MATHEMATICS, 2020; 80 (2)
Based on the invasion of the Aedes albopictus mosquitoes and the competition between Ae. albopictus and Ae. aegypti mosquitoes in the United States, w......
